Pionic Atom in N-Dimensional Euclidean Space (I)

论文发布时间：[2009-12-16] 范文大全编辑：Voive.net

所有作者：田文杰

作者单位：陕西师范大学,物理学与信息技术学院

论文摘要：In this paper， the N-dimensional pionic atom in Euclidean configuration space (mathbb{E}N) is investigated。 Since pi- is of zero spin and respect Klein-Gordon equation(KGE)， we start with the formulation of time-independent KGE in mathbb{E}N。 Firstly ，the energy spectrum in N dimensions is derived， and its comparison with the special case of N=３ gives rise to the definition of the principal quantum number in mathbb{E}N。 Subsequently， the degeneracy of the energy levels is analyzed， and calculations indicate that its degree is equal to that of the hydrogen atoms in mathbb{E}N。 It\\\\\\\'s argued that， this equality results from the identical radial behaviors of the stationary Schrodinger equation (SE) and KGE in mathbb{E}N in simple central potential with the symmetry of rotational invariance。 Also， the complete wave function in mathbb{E}N is deduced， with a kernel of Laguerre polynomial， and its necessary to explore its radial distribution properties。 To obtain an analytical result， the discussion is restricted to the case with maximum L and vanishing radial quantum number。 Under this condition， the location of the peak of the defined density function is determined。 Finally， we summarize the conclusions， make a comparison with the SE in mathbb{E}N and point out the potential work。

关键词： Pionic Atom Energy Spectrum Degeneracy Radial Distribution Density

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